In the vast emptyness of space, there is a chance that two opposite particles randomly come into existence, such as an electron and a positron. They have opposite charges and will usually quickly eliminate each other and then cease to exist. These random occurances happen throughout all empty space.
So if space is big enough (first assumption) or time goes on for long enough (secondary assumption), then these random occurances could actually form something tangible when a bunch of them happen in the same space at the same time. Well, as long as there isn’t something else influencing where and when these random occurances happen and they are truly random (second assumption).
So if the universe is big enough, or even theorized as infinite, OR time is infinite, then we can expect a brain to randomly be created at some point in time, in a random location of empty space. It’s the same idea as “1000 monkey typing randomly on 1000 type writers will eventually produce Shakespeare.” A brain with memories, thoughts, ideas, everything. This brain could then immediately die, or cease to exist, but the point is that these would exist due to pure randomness. That’s a Boltzmann Brain. And you could be one.
The part that breaks this down the most for me is that if I am a Boltzmann Brain, then my memories and experiences would also be random – so I cannot apply the random universe I am experiences to the explanation of my own creation. That’s circlular logic.
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